Neutrosophic fuzzy goal programming technique to solve multi-objectiveprogramming problem in vague environment

In this paper, we introduce the goal programming inneutrosophic environment. The degrees of acceptance,indeterminacy and rejection of objectives are simultaneouslyconsidered. We propose a model for solving NeutrosophicGoal Programming Problem (NGPP), by using minimize thesum of the deviation. Finally, an industrial waste watertreatment design problem is given to illustrate the efficiencyof the proposed model.